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Interval-constrained online bipartite matching problem frequently occurs in medical appointment scheduling: Unit-time jobs representing patients arrive online and are assigned to a time slot within their given feasible time interval. We…

Data Structures and Algorithms · Computer Science 2025-08-15 Andreas Abels , Mariia Anapolska , Christina Büsing

In this paper, we propose a new recommendation algorithm for addressing the problem of two-sided online matching markets with complementary preferences and quota constraints, where agents' preferences are unknown a priori and must be…

Machine Learning · Statistics 2024-05-30 Yuantong Li , Guang Cheng , Xiaowu Dai

We consider the problem of online Min-cost Perfect Matching with Delays (MPMD) introduced by Emek et al. (STOC 2016). In this problem, an even number of requests appear in a metric space at different times and the goal of an online…

Data Structures and Algorithms · Computer Science 2017-04-25 Marcin Bienkowski , Artur Kraska , Paweł Schmidt

We present a $0.659$-competitive Quadratic Ranking algorithm for the Oblivious Bipartite Matching problem, a distribution-free version of Query-Commit Matching. This result breaks the $1-\frac{1}{e}$ barrier, addressing an open question…

Data Structures and Algorithms · Computer Science 2025-07-28 Zhiyi Huang , Enze Sun , Xiaowei Wu , Jiahao Zhao

The challenge in the widely applicable online matching problem lies in making irrevocable assignments while there is uncertainty about future inputs. Most theoretically-grounded policies are myopic or greedy in nature. In real-world…

Machine Learning · Computer Science 2022-11-01 Mohammad Ali Alomrani , Reza Moravej , Elias B. Khalil

We study an edge-weighted online stochastic \emph{Generalized Assignment Problem} with \emph{unknown} Poisson arrivals. In this model, we consider a bipartite graph that contains offline bins and online items, where each offline bin is…

Computer Science and Game Theory · Computer Science 2023-05-25 Zihao Li , Hao Wang , Zhenzhen Yan

In 2005 Li et al. gave a phi-competitive deterministic online algorithm for scheduling of packets with agreeable deadlines with a very interesting analysis. This is known to be optimal due to a lower bound by Hajek. We claim that the…

Data Structures and Algorithms · Computer Science 2010-02-03 Łukasz Jeż

We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

Data Structures and Algorithms · Computer Science 2022-07-19 Uwe Schwiegelshohn

We consider the classical online scheduling problem P||C_{max} in which jobs are released over list and provide a nearly optimal online algorithm. More precisely, an online algorithm whose competitive ratio is at most (1+\epsilon) times…

Data Structures and Algorithms · Computer Science 2013-02-19 Lin Chen , Deshi Ye , Guochuan Zhang

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

We examine several online matching problems, with applications to Internet advertising reservation systems. Consider an edge-weighted bipartite graph G, with partite sets L, R. We develop an 8-competitive algorithm for the following…

Data Structures and Algorithms · Computer Science 2008-07-09 Nitish Korula , Martin Pal

Matching problems with group-fairness constraints and diversity constraints have numerous applications such as in allocation problems, committee selection, school choice, etc. Moreover, online matching problems have lots of applications in…

Data Structures and Algorithms · Computer Science 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

Data Structures and Algorithms · Computer Science 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

Makespan minimization on identical machines is a fundamental problem in online scheduling. The goal is to assign a sequence of jobs to $m$ identical parallel machines so as to minimize the maximum completion time of any job. Already in the…

Data Structures and Algorithms · Computer Science 2021-10-28 Susanne Albers , Maximilian Janke

We study Stochastic Online Correlated Selection (SOCS), a family of online rounding algorithms for Non-IID Stochastic Online Submodular Welfare Maximization and special cases such as Online Stochastic Matching, Stochastic AdWords, and…

Data Structures and Algorithms · Computer Science 2024-08-23 Ziyun Chen , Zhiyi Huang , Enze Sun

In the semi-streaming model, an algorithm receives a stream of edges of a graph in arbitrary order and uses a memory of size $O(n \mbox{ polylog } n)$, where $n$ is the number of vertices of a graph. In this work, we present semi-streaming…

Data Structures and Algorithms · Computer Science 2014-04-11 Christian Konrad , Frédéric Magniez , Claire Mathieu

In this paper, we address the top-$K$ ranking problem with a monotone adversary. We consider the scenario where a comparison graph is randomly generated and the adversary is allowed to add arbitrary edges. The statistician's goal is then to…

Machine Learning · Statistics 2024-06-21 Yuepeng Yang , Antares Chen , Lorenzo Orecchia , Cong Ma

With the increasing volume of data in the world, the best approach for learning from this data is to exploit an online learning algorithm. Online ensemble methods are online algorithms which take advantage of an ensemble of classifiers to…

Machine Learning · Statistics 2015-02-03 Mohammadzaman Zamani , Hamid Beigy , Amirreza Shaban

We consider the following online optimization problem. We are given a graph $G$ and each vertex of the graph is assigned to one of $\ell$ servers, where servers have capacity $k$ and we assume that the graph has $\ell \cdot k$ vertices.…

Data Structures and Algorithms · Computer Science 2020-11-03 Monika Henzinger , Stefan Neumann , Harald Räcke , Stefan Schmid

Processing high-volume, streaming data is increasingly common in modern statistics and machine learning, where batch-mode algorithms are often impractical because they require repeated passes over the full dataset. This has motivated…